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Finding the Third Proportional to 38,044 and 59,368

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Solution

The third proportional to 38,044 and 59,368 is: 92,644.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,044 : 59,368 = 59,368 : x
  2. Step 2: Convert to fraction form
    38,044/59,368 = 59,368/x
  3. Step 3: Cross multiply
    38,044x = 59,368 × 59,368
  4. Step 4: Simplify right side
    38,044x = 3,524,559,424
  5. Step 5: Solve for x
    x = 3,524,559,424/38,044
  6. Step 6: Final answer
    x = 92,644.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.